Finite Group Databasebeta

← #29737145

Subgroups — #29737145

Order 15616.

990 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840047C211yesmaximal, characteristic, complemented
2C22×#14519701C211yesmaximal, characteristic
3#21449521C211yesmaximal, characteristic
4#21447362C211yesmaximal, characteristic, complemented
5#21447200C211yesmaximal, characteristic, complemented
6#21447200C211yesmaximal, characteristic, complemented
7#21446960C211yesmaximal, characteristic, complemented
8#21446087C211yesmaximal, characteristic, complemented
9#21446087C211yesmaximal, characteristic, complemented
10#21446011C211yesmaximal, characteristic
11#21445999C211yesmaximal, characteristic
12#21445842C211yesmaximal, characteristic
13#21445824C211yesmaximal, characteristic, complemented
14#21445754C211yesmaximal, characteristic
15Q8×C22⋊C4×C61C211yesmaximal, characteristic
16C23×#92418C2211yescharacteristic
17C2×#14519777C2211yescharacteristic
18C2×#14519754—21no—
19C22×C4⋊Dic61C2211yescharacteristic
20#16840047—24no—
21C2×#14519708C2211yescharacteristic
22C2×#14519708C2211yescharacteristic
23C2×#14519708C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
25C2×C4⋊#92418C2211yescharacteristic
26C2×C4⋊#92418C2211yescharacteristic
27C2×#14519701—24no—
28C2×#14519701C2211yescharacteristic
29C2×#14519701C2211yescharacteristic
30C2×#14519701C2211yescharacteristic
31C2×#14519701C2211yescharacteristic
32C2×#14519701C2211yescharacteristic
33C2×#14519701C2211yescharacteristic
34C2×#14519701C2211yescharacteristic
35C2×#14519701C2211yescharacteristic
36C2×C22⋊#92418C2211yescharacteristic
37#16839694—21no—
38#16839683—21no—
39#16839660C2211yescharacteristic
40#16839660C2211yescharacteristic
41#16839637—21no—
42#16839632C2211yescharacteristic
43#16839622C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50C23×Q8×C61C2211yescharacteristic
51C2×C4×Q8×C61C2211yescharacteristic
52C2×C4×Q8×C61C2211yescharacteristic
53C61×#391—21no—
54C61×#391—21no—
55C61×#391C2211yescharacteristic
56C61×#391C2211yescharacteristic
57C61×#380—21no—
58C61×#380C2211yescharacteristic
59C4×C22⋊C4×C61—21no—
60C4×C22⋊C4×C61C2211yescharacteristic
61C22×Dic122—21no—
62C23×Dic61—21no—
63C22×#92418—22no—
64C22×#92418—22no—
65C22×#92418—41no—
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70#14519777—22no—
71#14519777—41no—
72#14519754—44no—
73C2×C4⋊Dic61—22no—
74C2×C4⋊Dic61—21no—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61—21no—
78C2×C4⋊Dic61—41no—
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×#11758196—21no—
84C2×#11758196—21no—
85C2×C22⋊Dic61—21no—
86#14519708—22no—
87#14519708—22no—
88#14519708—41no—
89#14519708—41no—
90C4⋊#92418—22no—
91C4⋊#92418—41no—
92#14519701—22no—
93#14519701—22no—
94#14519701—22no—
95#14519701—22no—
96#14519701—22no—
97#14519701—41no—
98#14519701—41no—
99#14519701D414yes—
100C22⋊#92418—22no—
101#14519684—21no—
102#14519684—21no—
103#14519684—21no—
104C22×Q8×C61—21no—
105C22×Q8×C61—22no—
106C22×Q8×C61—22no—
107C22×Q8×C61—22no—
108C22×Q8×C61—41no—
109C22×Q8×C61—41no—
110C22×Q8×C61Q814yescomplemented
111C22×Q8×C61C2311yescharacteristic
112C22×Q8×C61C2311yescharacteristic
113C23×C4×C61—21no—
114C23×C4×C61C2311yescharacteristic
115C4×Q8×C61—22no—
116C4×Q8×C61—22no—
117C4×Q8×C61—41no—
118C4×Q8×C61—41no—
119C2×C4⋊C4×C61—21no—
120C2×C4⋊C4×C61—21no—
121C2×C4⋊C4×C61C2311yescharacteristic
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61D411yescharacteristic
125C2×C22⋊C4×C61D411yescharacteristic
126C2×C42×C61—21no—
127C2×C42×C61—21no—
128C2×C42×C61C2311yescharacteristic
129C2×C42×C61C2311yescharacteristic
130#95×C61—21no—
131#95×C61—21no—
132#95×C61—21no—
133#95×C61—21no—
134#95×C61—21no—
135#95×C61D411yescharacteristic
136#95×C61D411yescharacteristic
137C24×C61C2×D411yescharacteristic
138C2×Q8×C61—24no—
139C2×Q8×C61—21no—
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61—28no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—42no—
149C2×Q8×C61—42no—
150C2×Q8×C61—44no—
151C2×Q8×C61—44no—
152C2×Q8×C61—44no—
153C2×Q8×C61C2×D412yes—
154C2×Q8×C61C2×Q812yes—
155C2×Q8×C61C2×Q812yes—
156C2×Q8×C61#4112yes—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—21no—
161C22×C4×C61—21no—
162C22×C4×C61—24no—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61—42no—
167C22×C4×C61—42no—
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D411yescharacteristic
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2×D411yescharacteristic
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2×Q812yes—
174C22×C4×C61#4112yes—
175C22×C4×C61C2411yescharacteristic
176C22×Dic61—21no—
177C22×Dic61—21no—
178C22×Dic61—21no—
179C22×Dic61—21no—
180C22×Dic61—42no—
181C22×Dic61—42no—
182C22×Dic61—81no—
183C2×Dic122—42no—
184C2×Dic122—42no—
185C2×Dic122—81no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—42no—
191C4⋊C4×C61—42no—
192C22⋊C4×C61—22no—
193C22⋊C4×C61—42no—
194C22⋊C4×C61SD1614yes—
195C42×C61—21no—
196C42×C61—21no—
197C42×C61—21no—
198C42×C61—21no—
199C42×C61—42no—
200C42×C61—42no—
201C22⋊Dic61—42no—
202C4⋊Dic61—21no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—42no—
210C4⋊Dic61—42no—
211C4⋊Dic61—42no—
212C4⋊Dic61—81no—
213C4⋊Dic61C2×D412yes—
214#11758196—42no—
215#11758196—42no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—44no—
228C2×#92418C2×D412yes—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61C22⋊Q812yes—
234C23×C61C2×SD1612yes—
235C23×C61#13712yes—
236C23×C61C22×D411yescharacteristic
237Q8×C61—22no—
238Q8×C61—22no—
239Q8×C61—22no—
240Q8×C61—22no—
241Q8×C61—22no—
242Q8×C61—48no—
243Q8×C61—41no—
244Q8×C61—41no—
245Q8×C61C22⋊Q814yescomplemented
246C2×C4×C61—22no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—22no—
250C2×C4×C61—21no—
251C2×C4×C61—22no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—22no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—48no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61C22⋊Q812yes—
276C2×C4×C61C2×SD1612yes—
277C2×C4×C61C2×SD1612yes—
278C2×C4×C61C22×D411yescharacteristic
279C2×C4×C61C22×Q811yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61H(5,𝔽2)11yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C2×Dic61—22no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—84no—
297Dic122—84no—
298#92418—22no—
299#92418—41no—
300#92418—41no—
301#92418—41no—
302#25955—611nomaximal, Sylow
303C22×C61—22no—
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—22no—
307C22×C61—22no—
308C22×C61—22no—
309C22×C61#47514yescomplemented
310C22×C61C2×C22⋊Q811yescharacteristic
311C22×C61D4211yescharacteristic
312C22×C61#54611yescharacteristic
313C22×C61C22×SD1611yescharacteristic
314C22×C61C2×#13711yescharacteristic
315C22×C61#57711yescharacteristic
316C22×C61#57811yescharacteristic
317C4×C61—22no—
318C4×C61—24no—
319C4×C61—22no—
320C4×C61—22no—
321C4×C61—42no—
322C4×C61—41no—
323C4×C61—41no—
324C4×C61—81no—
325C4×C61—81no—
326C4×C61C2×C22⋊Q811yescharacteristic
327C4×C61#54311yescharacteristic
328C4×C61#54611yescharacteristic
329C4×C61#55111yescharacteristic
330Dic61—42no—
331Dic61—81no—
332Dic61—81no—
333Dic61—81no—
334C2×#475—611no—
335C22×#103—611no—
336#2440—611no—
337Q8×C22⋊C4D6111yescharacteristic
338#2096—611no—
339#2066—611no—
340#2066—611no—
341#2024—611no—
342#1865—611no—
343#1865—611no—
344#1853—611no—
345#1850—611no—
346#1807—611no—
347#1803—611no—
348#1787—611no—
349C2×C61—24no—
350C2×C61#243711yescharacteristic
351C2×C61C2×#47511yescharacteristic
352C2×C61#308211yescharacteristic
353C2×C61#327011yescharacteristic
354C2×C61D4×SD1611yescharacteristic
355C2×C61#329811yescharacteristic
356C2×C61#331611yescharacteristic
357C23×Q8C2×D6111yescharacteristic
358C23×C8—611no—
359C2×C4⋊Q8—611no—
360C2×C22⋊Q8—1221no—
361C2×C4×Q8C2×D6111yescharacteristic
362C2×C4×Q8C2×D6111yescharacteristic
363C22×C4⋊C4—611no—
364#475—1224no—
365C2×#106—611no—
366C2×#106—611no—
367C2×#106—611no—
368C2×#106—611no—
369C2×C4⋊C8—611no—
370C2×C4⋊C8—611no—
371C2×#103—611no—
372C2×#103—611no—
373C2×#103—611no—
374C2×#103—611no—
375C2×#103—611no—
376C2×#103—611no—
377C2×#103—611no—
378C2×#103—611no—
379C2×#103—1224no—
380C2×C22⋊C8—611no—
381#398—1221no—
382#395—1221no—
383#391—21no—
384#391—21no—
385#391C2×D6111yescharacteristic
386#391C2×D6111yescharacteristic
387#389—611no—
388#389—611no—
389#385—1221no—
390#384—611no—
391#380—21no—
392#380—611no—
393#380C2×D6111yescharacteristic
394C4×C22⋊C4—21no—
395C4×C22⋊C4C2×D6111yescharacteristic
396#340—611no—
397#340—611no—
398#340—611no—
399#340—611no—
400#336—611no—
401#336—611no—
402C61#2595511yescharacteristic, complemented, Sylow
403C22×Q8—22no—
404C22×Q8—21no—
405C22×Q8—22no—
406C22×Q8—22no—
407C22×Q8—41no—
408C22×Q8—41no—
409C22×Q8—1221no—
410C22×Q8Dic12214yescomplemented
411C22×Q8C22×D6111yescharacteristic
412C22×Q8C22×D6111yescharacteristic
413C23×C4—21no—
414C23×C4—1221no—
415C23×C4C22×D6111yescharacteristic
416C22×C8—611no—
417C22×C8—611no—
418C22×C8—611no—
419C22×C8—611no—
420C22×C8—1222no—
421C22×C8—1222no—
422C22×C8—2441no—
423C4⋊Q8—1222no—
424C4⋊Q8—2441no—
425C22⋊Q8—2444no—
426C4×Q8—22no—
427C4×Q8—22no—
428C4×Q8—41no—
429C4×Q8—41no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—611no—
433C2×C4⋊C4—611no—
434C2×C4⋊C4—611no—
435C2×C4⋊C4—611no—
436C2×C4⋊C4—1222no—
437C2×C4⋊C4—1221no—
438C2×C4⋊C4—1221no—
439C2×C4⋊C4—1221no—
440C2×C4⋊C4—1221no—
441C2×C4⋊C4—1221no—
442C2×C4⋊C4—1221no—
443C2×C4⋊C4—2441no—
444C2×C4⋊C4C22×D6111yescharacteristic
445C2×C4⋊C4C22×D6111yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—1221no—
448C2×C22⋊C4C22⋊D6111yescharacteristic
449C2×C22⋊C4C22⋊D6111yescharacteristic
450C2×C42—21no—
451C2×C42—21no—
452C2×C42C22×D6111yescharacteristic
453C2×C42C22×D6111yescharacteristic
454#106—1222no—
455#106—1222no—
456#106—2441no—
457#106—2441no—
458C4⋊C8—1222no—
459C4⋊C8—2441no—
460#103—614no—
461#103—1222no—
462#103—1222no—
463#103—1222no—
464#103—1222no—
465#103—1222no—
466#103—2441no—
467#103—2441no—
468C22⋊C8—1222no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—1221no—
475#95—1221no—
476#95—1221no—
477#95C22⋊D6111yescharacteristic
478#95C22⋊D6111yescharacteristic
479C24C2×C22⋊D6111yescharacteristic
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—24no—
485C2×Q8—28no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—42no—
491C2×Q8—42no—
492C2×Q8—44no—
493C2×Q8—44no—
494C2×Q8—44no—
495C2×Q8—4881no—
496C2×Q8—2442no—
497C2×Q8—2442no—
498C2×Q8C2×Dic12212yes—
499C2×Q8C2×Dic12212yes—
500C2×Q8D4×D6112yes—
501C2×Q8#1175822412yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—1221no—
514C22×C4—1221no—
515C22×C4—1221no—
516C22×C4—1221no—
517C22×C4—4881no—
518C22×C4—2442no—
519C22×C4—2442no—
520C22×C4C2×Dic12212yes—
521C22×C4#1175822212yes—
522C22×C4C2×C22⋊D6111yescharacteristic
523C22×C4C2×C22⋊D6111yescharacteristic
524C22×C4C2×C22⋊D6111yescharacteristic
525C22×C4C2×C22⋊D6111yescharacteristic
526C22×C4C2×C22⋊D6111yescharacteristic
527C22×C4C23×D6111yescharacteristic
528C2×C8—612no—
529C2×C8—1221no—
530C2×C8—1221no—
531C2×C8—1221no—
532C2×C8—1221no—
533C2×C8—1221no—
534C2×C8—1221no—
535C2×C8—1221no—
536C2×C8—1221no—
537C2×C8—1221no—
538C2×C8—1221no—
539C2×C8—1221no—
540C2×C8—2444no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—612no—
548C4⋊C4—1221no—
549C4⋊C4—1221no—
550C4⋊C4—1221no—
551C4⋊C4—1221no—
552C4⋊C4—1221no—
553C4⋊C4—1221no—
554C4⋊C4—1221no—
555C4⋊C4—4881no—
556C4⋊C4—2442no—
557C4⋊C4—2442no—
558C4⋊C4—2442no—
559C4⋊C4—2442no—
560C4⋊C4—2442no—
561C22⋊C4—22no—
562C22⋊C4—42no—
563C22⋊C4—2442no—
564C22⋊C4#1175820114yes—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—21no—
569C42—42no—
570C42—42no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23#1451975612yes—
576C23C2×#1175820112yes—
577C23#1451980712yes—
578C23C22×C22⋊D6111yescharacteristic
579Q8—22no—
580Q8—22no—
581Q8—22no—
582Q8—22no—
583Q8—22no—
584Q8—48no—
585Q8—41no—
586Q8—41no—
587Q8—4884no—
588Q8#1451975414yescomplemented
589C2×C4—22no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—22no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—48no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—1222no—
619C2×C4—4884no—
620C2×C4—2441no—
621C2×C4—2441no—
622C2×C4—2441no—
623C2×C4—2441no—
624C2×C4—2441no—
625C2×C4—2441no—
626C2×C4—2441no—
627C2×C4—2441no—
628C2×C4—2441no—
629C2×C4—2441no—
630C2×C4—2441no—
631C2×C4#1451975612yes—
632C2×C4C2×#1175820112yes—
633C2×C4C2×#1175820112yes—
634C2×C4C2×D4×D6111yescharacteristic
635C2×C4C22×Dic12211yescharacteristic
636C2×C4C2×#1175822411yescharacteristic
637C2×C4C2×#1175822211yescharacteristic
638C2×C4#1451982211yescharacteristic
639C2×C4#1451982211yescharacteristic
640C8—1222no—
641C8—2441no—
642C8—2441no—
643C8—2441no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22#1684004714yescomplemented
651C22C2×#1451975611yescharacteristic
652C22D4×C22⋊D6111yescharacteristic
653C22#1684040611yescharacteristic
654C22C22×#1175820111yescharacteristic
655C22C2×#1451980711yescharacteristic
656C22#1684057011yescharacteristic
657C22#1684057711yescharacteristic
658C4—22no—
659C4—24no—
660C4—22no—
661C4—22no—
662C4—42no—
663C4—41no—
664C4—41no—
665C4—81no—
666C4—81no—
667C4—4881no—
668C4—4881no—
669C4—4881no—
670C4—2442no—
671C4C2×#1451975411yescharacteristic
672C4#1684038811yescharacteristic
673C4#1684040211yescharacteristic
674C4#1684043811yescharacteristic
675C2—24no—
676C2#2144948011yescharacteristic
677C2C2×#1684004711yescharacteristic
678C2#2145566111yescharacteristic
679C2#2145738511yescharacteristic
680C2D4×#1175820111yescharacteristic
681C2#2145768411yescharacteristic
682C2#2145793011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingQ8×C22⋊C4×C61C2
socleC23×C61C22×D4
prime radicalC24×C61C2×D4
hypercenterQ8×C22⋊C4D61
hypocenterC61#25955
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ Q8×C22⋊C4

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#16840047C2semidirect
4. #21447362C2semidirect
5. #21447200C2semidirect
6. #21447200C2semidirect
7. #21446960C2semidirect
8. #21446087C2semidirect
9. #21446087C2semidirect
13. #21445824C2semidirect
110. C22×Q8×C61Q8semidirect
245. Q8×C61C22⋊Q8semidirect
309. C22×C61#475semidirect
402. C61#25955semidirect
410. C22×Q8Dic122semidirect
588. Q8#14519754semidirect
650. C22#16840047semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#168400472
C22×#145197012
#214495212
#214473622
#214472002
#214469602
#214460872
#214460112
#214459992
#214458422
#214458242
#214457542
Q8×C22⋊C4×C612
#2595561